# Find the simplest value of (32)-5/2÷(125)-2/3?

Jul 1, 2018

$\frac{4697}{150} \approx 31.3$

#### Explanation:

Given: $32 - \frac{5}{2} \div 125 - \frac{2}{3}$

Divide first.

$= 32 - \frac{5}{2} \cdot \frac{1}{125} - \frac{2}{3}$

$= 32 - \frac{5}{250} - \frac{2}{3}$

$= 32 - \frac{1}{50} - \frac{2}{3}$

Use the lowest common multiple of all the denominators.

$1 = 1$

$50 = 2 \cdot {5}^{2}$

$3 = 3 \cdot 1$

$\therefore \setminus \text{LCM} = 50 \cdot 3 \cdot 1 = 150$

$= \frac{4800}{150} - \frac{3}{150} - \frac{100}{150}$

$= \frac{4800 - 3 - 100}{150}$

$= \frac{4697}{150}$

$\approx 31.3$